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3066140 = 2257112181
BaseRepresentation
bin1011101100100100011100
312202202221202
423230210130
51241104030
6145415032
735030120
oct13544434
95682852
103066140
111804700
12103a478
138347ac
1459b580
15408745
hex2ec91c

3066140 has 72 divisors (see below), whose sum is σ = 8133216. Its totient is φ = 950400.

The previous prime is 3066127. The next prime is 3066157. The reversal of 3066140 is 416603.

3066140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16850 + ... + 17030.

Almost surely, 23066140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066608).

3066140 is an abundant number, since it is smaller than the sum of its proper divisors (5067076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3066140 is a wasteful number, since it uses less digits than its factorization.

3066140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3066140 is about 1751.0396911549. The cubic root of 3066140 is about 145.2771551991.

It can be divided in two parts, 306 and 6140, that added together give a palindrome (6446).

The spelling of 3066140 in words is "three million, sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 181 220 242 308 362 385 484 605 724 770 847 905 1210 1267 1540 1694 1810 1991 2420 2534 3388 3620 3982 4235 5068 6335 7964 8470 9955 12670 13937 16940 19910 21901 25340 27874 39820 43802 55748 69685 87604 109505 139370 153307 219010 278740 306614 438020 613228 766535 1533070 3066140